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Finding the Fourth Proportional to 2,453.45, 3,681.18 and 1,153.94

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Solution

The fourth proportional to 2,453.45, 3,681.18 and 1,153.94 is: 1,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.45 : 3,681.18 = 1,153.94 : x
  2. Step 2: Convert to fraction form
    2,453.45/3,681.18 = 1,153.94/x
  3. Step 3: Cross multiply
    2,453.45x = 3,681.18 × 1,153.94
  4. Step 4: Simplify right side
    2,453.45x = 4,247,842.44
  5. Step 5: Solve for x
    x = 4,247,842.44/2,453.45
  6. Step 6: Final answer
    x = 1,731.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.